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Finding the Third Proportional to 724,369,032 and 1,571,235,084

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Solution

The third proportional to 724,369,032 and 1,571,235,084 is: 3,408,179,505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,369,032 : 1,571,235,084 = 1,571,235,084 : x
  2. Step 2: Convert to fraction form
    724,369,032/1,571,235,084 = 1,571,235,084/x
  3. Step 3: Cross multiply
    724,369,032x = 1,571,235,084 × 1,571,235,084
  4. Step 4: Simplify right side
    724,369,032x = 2,468,779,689,192,486,912
  5. Step 5: Solve for x
    x = 2,468,779,689,192,486,912/724,369,032
  6. Step 6: Final answer
    x = 3,408,179,505.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.